Open AccessFunctional interval observer for the linear systems with disturbances
Author(s) -
Gu DaKe,
Liu LongWen,
Duan GuangRen
Publication year - 2018
Publication title -
iet control theory and applications
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.059
H-Index - 108
eISSN - 1751-8652
pISSN - 1751-8644
DOI - 10.1049/iet-cta.2018.5113
Subject(s) - observer (physics) , interval (graph theory) , control theory (sociology) , correctness , parametric statistics , mathematics , extension (predicate logic) , state observer , interval arithmetic , linear system , computer science , nonlinear system , control (management) , algorithm , mathematical analysis , artificial intelligence , physics , combinatorics , quantum mechanics , statistics , bounded function , programming language
A Luenberger‐like functional interval observer for the linear systems with time‐varying disturbances is developed in this study. First, as an extension of the definition of the general interval observer, a new definition of the functional interval observer is provided. Then the sufficient conditions for the existence of such an observer are introduced in terms of the properties of positive systems. Simultaneously, on the basis of the proposed existence conditions, the parametric design method of the interval observer for the linear functional of the states in the systems is presented by employing the solution of the Sylvester equations. Eventually, the correctness and efficiency of the obtained results are illustrated by a numerical example.